The six-vertex model on random lattices

Details The six-vertex model on random lattices The six-vertex model on random lattices

1999-09-16

arxiv.org/abs/cond-mat/9909250v2

Europhys.Lett.50:15-21,2000

Physics

Condensed Matter

Statistical Mechanics

10 pages, 3 figures

Scientific paper

10.1209/epl/i2000-00229-y

In this letter, the 6-vertex model on dynamical random lattices is defined via a matrix model and rewritten (following I. Kostov) as a deformation of the O(2) model. In the large N planar limit, an exact solution is found at criticality. The critical exponents of the model are determined; they vary continously along the critical line. The vicinity of the latter is explored, which confirms that we have a line of c=1 conformal field theories coupled to gravity.

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